Finding the Third Proportional to 16,305 and 35,735.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,305 : 35,735.50 = 35,735.50 : x
2. Step 2: Convert to fraction form
   16,305/35,735.50 = 35,735.50/x
3. Step 3: Cross multiply
   16,305x = 35,735.50 × 35,735.50
4. Step 4: Simplify right side
   16,305x = 1,277,025,960.25
5. Step 5: Solve for x
   x = 1,277,025,960.25/16,305
6. Step 6: Final answer
   x = 78,321.13